(y-7/y)*(5y/y-7)

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Solution for (y-7/y)*(5y/y-7) equation:


D( y )

y = 0

y = 0

y = 0

y in (-oo:0) U (0:+oo)

(y-(7/y))*((5*y)/y-7) = 0

(y-7*y^-1)*((5*y)/y-7) = 0

-2*(y-7*y^-1) = 0

y-7*y^-1 = 0

y^-1*(y^2-7) = 0

1*y^2 = 7 // : 1

y^2 = 7

y^2 = 7 // ^ 1/2

abs(y) = 7^(1/2)

y = 7^(1/2) or y = -7^(1/2)

y^-1*(y-7^(1/2))*(y+7^(1/2)) = 0

-2*y^-1*(y-7^(1/2))*(y+7^(1/2)) = 0

( y+7^(1/2) )

y+7^(1/2) = 0 // - 7^(1/2)

y = -7^(1/2)

( y-7^(1/2) )

y-7^(1/2) = 0 // + 7^(1/2)

y = 7^(1/2)

( y^-1 )

1*y^-1 = 0 // : 1

y^-1 = 0

y naleu017Cy do O

y in { -7^(1/2), 7^(1/2) }

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